Therefore, there have been many efforts to generalize the theory to the nonlinear setting, with early works starting from Biot [1]}.
More recently, examples of nonlinear large-deformation poroelastic models include models for elastomeric and biological materials [2]}; multiphase continuum formulations presented in [3]} and [4]} for saturated fields reinforced by elastic fibers and polymeric gels, respectively;
and for computational geomechanics, such as multiphase finite element formulations for fully and partially saturated porous geomaterials, by Borja and coworkers [5]}, [6]}, [7]}.
Another older approach is based on mixture theory, e.g. [8]}, which leads to a formidable set of equations.
